However I need some guidance choosing the stats modules. I have to choose FIVE modules out of eight from the list in the attachment.The attached PDF file contains the list of modules and their content below.

Obviously I am trying to select such a combination of modules that will be most useful for Quant line of work.Thank you.

Take a C/C++ course from the computer science department, a machine learning course from the electrical engineering dept., and an econometrics course from the econ dept. Sorry it doesn't correspond much to your list, but you'll get to see how the other guys think, and probably end up sleeping in the computer center.

To be fair, "Applied Stochastic Processes" could be decent, but only if they use Karlin and Taylor.

From the course description, ST 333 seems to be very much focused on Markov chains and other discrete state processes, so probably not. Hint to OP: trying to obfuscate relevant information while asking for help is ususually not productive. I tend to agree with Alan, but am not convinced about the C++ part. Developing proficiency in something a bit more accessible, like Python, R, or Julia may be more efficient.

I understand that it wasn't your goal, but explicitly referring to Warwick rather than a generic "UK university" would actually mean something to a bunch of people around here, and might well improve the quality of the advice you'd get.